結果

問題 No.878 Range High-Element Query
ユーザー ThistleThistle
提出日時 2021-01-23 23:20:19
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 245 ms / 2,000 ms
コード長 15,314 bytes
コンパイル時間 2,336 ms
コンパイル使用メモリ 144,336 KB
実行使用メモリ 29,496 KB
最終ジャッジ日時 2024-06-10 09:25:59
合計ジャッジ時間 5,011 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
（要ログイン）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 6 ms
17,588 KB
testcase_01 AC 10 ms
17,708 KB
testcase_02 AC 9 ms
17,584 KB
testcase_03 AC 7 ms
17,716 KB
testcase_04 AC 8 ms
17,712 KB
testcase_05 AC 8 ms
17,840 KB
testcase_06 AC 7 ms
17,712 KB
testcase_07 AC 7 ms
17,712 KB
testcase_08 AC 9 ms
17,712 KB
testcase_09 AC 8 ms
17,712 KB
testcase_10 AC 7 ms
17,712 KB
testcase_11 AC 230 ms
27,920 KB
testcase_12 AC 149 ms
26,884 KB
testcase_13 AC 196 ms
25,852 KB
testcase_14 AC 144 ms
24,180 KB
testcase_15 AC 149 ms
26,548 KB
testcase_16 AC 219 ms
29,016 KB
testcase_17 AC 245 ms
29,496 KB
testcase_18 AC 238 ms
29,488 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC target ("avx")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define _USE_MATH_DEFINES
#include<iostream>
#include<string>
#include<queue>
#include<cmath>
#include<map>
#include<set>
#include<list>
#include<iomanip>
#include<vector>
#include<random>
#include<functional>
#include<algorithm>
#include<stack>
#include<cstdio>
#include<cstring>
#include<bitset>
#include<unordered_map>
#include<climits>
#include<fstream>
#include<complex>
#include<time.h>
#include<cassert>
#include<functional>
#include<numeric>
#include<tuple>
using namespace std;
using ll = long long;
using ld = long double;
using H = pair<ll, ll>;
using P = pair<ll, H>;
using vi = vector<ll>;
#define all(a) (a).begin(),(a).end()
#define fs first
#define sc second
#define xx first
#define yy second.first
#define zz second.second
#define Q(i,j,k) mkp(i,mkp(j,k))
#define rng(i,s,n) for(ll i = (s) ; i < (n) ; i++)
#define rep(i,n) rng(i, 0, (n))
#define mkp make_pair
#define vec vector
#define pb emplace_back
#define siz(a) int(a.size())
#define crdcomp(b) sort(all((b)));(b).erase(unique(all((b))),(b).end())
#define getidx(b,i) (lower_bound(all(b),(i))-(b).begin())
#define ssp(i,n) (i==(ll)(n)-1?"\n":" ")
#define ctoi(c) (int)(c-'0')
#define itoc(c) (char)(c+'0')
#define cyes printf("Yes\n")
#define cno printf("No\n")
#define cdf(n) for(int quetimes_=(n);quetimes_>0;quetimes_--)
#define gcj printf("Case #%lld: ",qq123_+1)
#define readv(a,n) a.resize(n,0);rep(i,(n)) a[i]=read()
#define found(a,x) (a.find(x)!=a.end())
constexpr ll mod = (ll)1e9 + 7;
constexpr ll Mod = 998244353;
constexpr ld EPS = 1e-10;
constexpr ll inf = (ll)3 * 1e18;
constexpr int Inf = (ll)15 * 1e8;
constexpr int dx[] = { -1,1,0,0 }, dy[] = { 0,0,-1,1 };
template<class T>bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
ll read() { ll u, k = scanf("%lld", &u); return u; }
string reads() { string s; cin >> s; return s; }
H readh(short g = 0) { H u; int k = scanf("%lld %lld", &u.fs, &u.sc); if (g == 1) u.fs--, u.sc--; if (g == 2) u.fs--; return u; }
bool ina(H t, int h, int w) { return 0 <= t.fs && t.fs < h && 0 <= t.sc && t.sc < w; }
bool ina(int t, int l, int r) { return l <= t && t < r; }
ll gcd(ll i, ll j) { return j ? gcd(j, i % j) : i; }
ll ppc(ll x) {
    int sum = 0; for (int i = 0; i < 60; i++)if ((1ll << i) & x) sum++;
    return sum;
}
template<typename T>
void fin(T x) { cout << x << endl; exit(0); }

template<typename T>
class csum {
    vec<T> v;
public:
    csum(vec<T>& a) :v(a) { build(); }
    csum() {}
    csum(int sz) { init(sz); }
    void init(int sz) { v = vector<T>(sz + 1, 0); }
    void init(vec<T>& a) { v = a; build(); }
    void build() {
        for (int i = 1; i < v.size(); i++) v[i] += v[i - 1];
    }
    void add(int l, int r, T x) {
        v[l] += x;
        v[r] -= x;
    }//[l,r)
    void add(int t, T x) {
        v[t] += x;
    }//[l,r)
    //[l,r]
    T a(int l, int r) {
        if (r < l) return 0;
        return v[r] - (l == 0 ? 0 : v[l - 1]);
    }
    //[l,r)
    T b(int l, int r) {
        return a(l, r - 1);
    }
    T a(pair<int, int>t) {
        return a(t.first, t.second);
    }
    T b(pair<int, int>t) {
        return b(t.first, t.second);
    }
    T operator[](int x)const {
        return v[x];
    }
};
template<ll mod>
class modint {
public:ll v;
      modint(ll v = 0) { s(v % mod + mod); }
      constexpr static int fn_ = (ll)2e6 + 5;
      static vector<modint>fact, comp;
      modint pow(ll x) const {
          modint b(v), c(1);
          while (x) {
              if (x & 1) c *= b;
              b *= b;
              x >>= 1;
          }
          return c;
      }
      inline modint& s(int vv) {
          v = vv < mod ? vv : vv - mod;
          return *this;
      }
      inline modint inv()const { return pow(mod - 2); }
      inline modint operator-()const { return modint() - *this; }
      inline modint& operator+=(const modint b) { return s(v + b.v); }
      inline modint& operator-=(const modint b) { return s(v + mod - b.v); }
      inline modint& operator*=(const modint b) { v = v * b.v % mod; return *this; }
      inline modint& operator/=(const modint b) { v = v * b.inv().v % mod; return *this; }
      inline modint operator+(const modint& b) const { return modint(v) += b; }
      inline modint operator-(const modint& b) const { return modint(v) -= b; }
      inline modint operator*(const modint& b) const { return modint(v) *= b; }
      inline modint operator/(const modint& b) const { return modint(v) /= b; }
      friend ostream& operator<<(ostream& os, const modint& m) {
          return os << m.v;
      }
      friend istream& operator>>(istream& is, modint& m) {
          int x; is >> x; m = modint(x);
          return is;
      }
      bool operator<(const modint& r)const { return v < r.v; }
      bool operator>(const modint& r)const { return v > r.v; }
      bool operator<=(const modint& r)const { return v <= r.v; }
      bool operator>=(const modint& r)const { return v >= r.v; }
      bool operator==(const modint& r)const { return v == r.v; }
      bool operator!=(const modint& r)const { return v != r.v; }
      explicit operator bool()const { return v; }
      explicit operator int()const { return v; }
      modint comb(modint k) {
          if (k > *this) return modint();
          if (fact.empty()) combinit();
          if (v >= fn_) {
              if (k > *this - k) k = *this - k;
              modint tmp(1);
              for (int i = v; i >= v - k.v + 1; i--) tmp *= modint(i);
              return tmp * comp[k.v];
          }
          return fact[v] * comp[k.v] * comp[v - k.v];
      }//nCk
      modint perm(modint k) {
          if (k > *this) return modint();
          if (fact.empty()) combinit();
          if (v >= fn_) {
              modint tmp(1);
              for (int i = v; i >= v - k.v + 1; i--) tmp *= modint(i);
              return tmp;
          }
          return fact[v] * comp[v - k.v];
      }//nPk
      static void combinit() {
          fact.assign(fn_, modint());
          fact[0] = 1;
          for (int i = 1; i < fn_; i++) fact[i] = fact[i - 1] * modint(i);
          comp.assign(fn_, modint());
          comp[fn_ - 1] = fact[fn_ - 1].inv();
          for (int i = fn_ - 2; i >= 0; i--) comp[i] = comp[i + 1] * modint(i + 1);
      }
};
using mint = modint<ll(1e9 + 7)>; template<>vec<mint> mint::fact = vec<mint>(); template<>vec<mint> mint::comp = vec<mint>();
//--------------------------------------------------------------
template<class T>
class LazySegmentTree {
protected:
    using UPF = function<void(T&, const int&)>;
    using QRF = function<void(T&, const T)>;
    using F = function<bool(T a)>;
    using ll = long long;
    int n, rr;
    vector<T>dat;
    vector<int>len;

    LazySegmentTree() {}
    LazySegmentTree(int size) { init(size); }
    LazySegmentTree(vector<T>& v) {
        init(v);
    }
    virtual ~LazySegmentTree() {}

    virtual void eval(const T& par, T& a, const int& al) = 0;
    virtual void fold(T& par, const int& pl) = 0;
    virtual T proc(const T& a, const int& al, const T& b, const int& bl) = 0;

public:
    void init(int size) {
        n = size, rr = 1;
        while (rr < n) rr <<= 1;
        dat.assign(2 * rr - 1, T());
        len.assign(2 * rr - 1, 0);
        for (int i = 0; i < n; i++) {
            len[i + rr - 1] = 1;
            dat[i + rr - 1] = T();
        }
        for (int i = rr - 2; i >= 0; i--) {
            len[i] = len[i * 2 + 1] + len[i * 2 + 2];
            dat[i] = proc(dat[i * 2 + 1], len[i * 2 + 1], dat[i * 2 + 2], len[i * 2 + 2]);
        }
    }
    void init(vector<T>& v) {
        n = (int)v.size(), rr = 1;
        while (rr < n) rr <<= 1;
        dat.assign(2 * rr - 1, T());
        len.assign(2 * rr - 1, 0);
        for (int i = 0; i < n; i++) {
            dat[i + rr - 1] = v[i];
            len[i + rr - 1] = 1;
        }
        for (int i = rr - 2; i >= 0; i--) {
            len[i] = len[i * 2 + 1] + len[i * 2 + 2];
            dat[i] = proc(dat[i * 2 + 1], len[i * 2 + 1], dat[i * 2 + 2], len[i * 2 + 2]);
        }
    }
    //one point update
    void set(int at, T x) {
        update(0, at, at + 1, 0, rr, [x](T& a) {a = x; });
    }
    void upd(int a, int b, UPF func) {
        upd(0, a, b, 0, rr, func);
    }
    T qry(int a, int b) {
        return qry(0, a, b, 0, rr);
    }
    T get0() {
        return dat[0];
    }
    //func([a,i))==true, func([a,i+1))==false
    int lb(int a, int b, F func) {
        T e = T();
        int lgt = 0;
        return lb(0, a, b, 0, rr, func, e, lgt);
    }
    //func([i,b))==true, func([i-1,b))==false
    int ub(int a, int b, F func) {
        T e = T();
        int lgt = 0;
        return ub(0, a, b, 0, rr, func, e, lgt);
    }
private:
    void upd(int i, const int& a, const int& b, int l, int r, UPF& func) {
        if (b <= l || r <= a) return;
        if (a <= l && r <= b) {
            func(dat[i], len[i]);
            return;
        }
        eval(dat[i], dat[i * 2 + 1], len[i * 2 + 1]);
        eval(dat[i], dat[i * 2 + 2], len[i * 2 + 2]);
        fold(dat[i], len[i]);

        upd(i * 2 + 1, a, b, l, (l + r) / 2, func);
        upd(i * 2 + 2, a, b, (l + r) / 2, r, func);

        dat[i] = proc(dat[i * 2 + 1], len[i * 2 + 1], dat[i * 2 + 2], len[i * 2 + 2]);
    }
    T qry(int i, const int& a, const int& b, int l, int r) {
        if (b <= l || r <= a) return T();
        if (a <= l && r <= b) return dat[i];

        eval(dat[i], dat[i * 2 + 1], len[i * 2 + 1]);
        eval(dat[i], dat[i * 2 + 2], len[i * 2 + 2]);
        fold(dat[i], len[i]);

        return proc(qry(i * 2 + 1, a, b, l, (l + r) / 2), len[i * 2 + 1],
            qry(i * 2 + 2, a, b, (l + r) / 2, r), len[i * 2 + 2]);
    }
    int lb(int i, int a, int b, int l, int r, F& func, T& wa, int& lgt) {
        if (b <= l || r <= a) return b;
        if (a <= l && r <= b) {
            if (func(proc(wa, lgt, dat[i], len[i]))) {
                wa = proc(wa, lgt, dat[i], len[i]);
                lgt += len[i];
                return b;
            }
            if (r - l == 1) return l;
        }
        eval(dat[i], dat[i * 2 + 1], len[i * 2 + 1]);
        eval(dat[i], dat[i * 2 + 2], len[i * 2 + 2]);
        fold(dat[i], len[i]);

        int tmp = lb(i * 2 + 1, a, b, l, (l + r) / 2, func, wa, lgt);
        if (tmp < b) return tmp;
        return lb(i * 2 + 2, a, b, (l + r) / 2, r, func, wa, lgt);
    }
    int ub(int i, int a, int b, int l, int r, F& func, T& wa, int& lgt) {
        if (b <= l || r <= a) return a;
        if (a <= l && r <= b) {
            if (func(proc(dat[i], len[i], wa, lgt))) {
                wa = proc(dat[i], len[i], wa, lgt);
                lgt += len[i];
                return a;
            }
            if (r - l == 1) return r;
        }
        eval(dat[i], dat[i * 2 + 1], len[i * 2 + 1]);
        eval(dat[i], dat[i * 2 + 2], len[i * 2 + 2]);
        fold(dat[i], len[i]);

        int tmp = ub(i * 2 + 2, a, b, (l + r) / 2, r, func, wa, lgt);
        if (tmp > a) return tmp;
        return ub(i * 2 + 1, a, b, l, (l + r) / 2, func, wa, lgt);
    }
};
template<typename T>
class BIT {
    int size;
    vector<T>dat;
public:
    BIT() {}
    BIT(vector<T>v) {
        init(v);
    }
    BIT(int n) { init(n); }
    void init(int n) {
        size = n;
        dat.assign(size + 1, 0);
    }
    void init(vector<T>v) {
        init(v.size());
        for (int i = 1; i <= size; i++) {
            dat[i] += v[i - 1];
            if (i + (i & -i) <= size) dat[i + (i & -i)] += dat[i];
        }
    }
    void add(int i, ll x) {
        i++;
        while (i <= size) {
            dat[i] += x;
            i += i & -i;
        }
    }
    void change(int i, ll x) {
        i++; int t = x - dat[i];
        while (i <= size) {
            int k = dat[i];
            dat[i] += t;
            t = dat[i] - k;
            i += i & -i;
        }
    }
    //[l,r)
    void add(int l, int r, ll x) {
        add(l, x); add(r, -x);
    }
    //[0,i]
    T query(int i) {
        i++;
        T sum = 0;
        while (i > 0) {
            sum += dat[i];
            i -= i & -i;
        }
        return sum;
    }
    //[l,r)
    T query(int l, int r) {
        return query(r - 1) - query(l - 1);
    }
    //[0,x) >= w
    int lower_bound(T w) {
        if (w <= 0) return 0;
        int x = 0, k = 1;
        while (k * 2 < size) k *= 2;
        for (; k > 0; k /= 2) {
            if (x + k <= size && dat[x + k] < w) {
                w -= dat[x + k];
                x += k;
            }
        }
        return x;
    }
};//size, 0-indexed

template<class T>
class Segtree :public LazySegmentTree<T> {
    using Base = LazySegmentTree<T>;
public:
    Segtree() {}
    Segtree(int size) {
        init(size);
    }
    Segtree(vector<ll> v) {
        init(v);
    }
    void init(int size) {
        Base::init(size);
    }
    void init(vector<ll> v) {
        vector<T>r(v.size());
        for (int i = 0; i < v.size(); i++) r[i] = T(v[i], 0);
        Base::init(r);
    }

    void update(int a, int b, ll x) {
        Base::upd(a, b, [&x](T& dat, const int& len) {
            chmin(dat.v, x);
            });
    }
    void add(int a, int b, ll x) {
        Base::upd(a, b, [&x](T& dat, const int& len) {
            dat.v += x; dat.l += x;
            });
    }
    ll query(int a, int b) {
        return Base::qry(a, b).v;
    }
    T get0() {
        return Base::get0();
    }
private:
    void eval(const T& par, T& a, const int& al)override {
        a.v += par.l; a.l += par.l;
    }
    void fold(T& par, const int& pl) override {
        par.l = 0;
    }
    T proc(const T& a, const int& al, const T& b, const int& bl)override {
        return T(min(a.v, b.v), 0);
    }
};
struct Mn {
    ll v, l;
    //val, lazy
    Mn() { v = inf, l = 0; }
    Mn(ll a, ll b) :v(a), l(b) {}
};
//--------------------------------------------------------------
vi ap[200000], sl[200000], qry[200000];
signed main() {
    int n, q; cin >> n >> q;
    vi a; readv(a, n);
    BIT<ll> bit(n), bit2(n);
    vi st(n);//どこからなら行けるか？
    deque<ll>dq;
    rep(i, n) {
        if (dq.empty() || a[dq.back()] < a[i]) {
            st[i] = 0;
        }
        else {
            int ok = siz(dq)-1, ng = -1, mid;
            while (ok - ng > 1) {
                mid = (ok + ng) / 2;
                if (a[dq[mid]] > a[i]) ok = mid;
                else ng = mid;
            }
            st[i] = dq[ok] + 1;
        }
        ap[st[i]].pb(i);
        sl[i].pb(i);
        while (!dq.empty() && a[dq.front()] < a[i]) 
            dq.pop_front();
        dq.push_front(i);
    }
    vec<H>qr;
    rep(i, q) {
        int l, r; cin >> l; cin >> l >> r;
        l--;
        qr.pb(H{ l,r });
        qry[l].pb(i);
    }
    vi ans(q);
    rep(i, n) {
        for (auto g : ap[i]) {
            bit.add(g, 1);
        }
        for (auto g : qry[i]) {
            ans[g] = bit.query(qr[g].fs, qr[g].sc);
        }
        for (auto g : sl[i]) {
            bit.add(i, -1);
        }
    }
    for (auto g : ans) cout << g << endl;
}
0